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Finding the Fourth Proportional to 3,230.72, 4,836.50 and 1,994.15

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Solution

The fourth proportional to 3,230.72, 4,836.50 and 1,994.15 is: 2,985.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.72 : 4,836.50 = 1,994.15 : x
  2. Step 2: Convert to fraction form
    3,230.72/4,836.50 = 1,994.15/x
  3. Step 3: Cross multiply
    3,230.72x = 4,836.50 × 1,994.15
  4. Step 4: Simplify right side
    3,230.72x = 9,644,672.32
  5. Step 5: Solve for x
    x = 9,644,672.32/3,230.72
  6. Step 6: Final answer
    x = 2,985.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.